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Holographic prediction for the deconfinement temperature.
1Physics Department, University of Washington, Seattle, Washington 98195-1560, USA.
Physical Review Letters
|March 16, 2007
Summary
Deconfinement in anti-de Sitter space models of quantum chromodynamics (AdS/QCD) occurs via a Hawking-Page phase transition. This finding aligns with meson spectrum predictions and provides deconfinement temperatures for AdS/QCD models.
Area of Science:
- Theoretical Physics
- Quantum Chromodynamics
- String Theory
Background:
- Quantum Chromodynamics (QCD) describes the strong force but is complex at finite temperatures.
- Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence offers a holographic approach to study QCD.
- Understanding the deconfinement phase transition is crucial for QCD at high temperatures.
Purpose of the Study:
- To investigate the deconfinement phase transition in Anti-de Sitter (AdS) space models of QCD.
- To explore the mechanism of deconfinement as a Hawking-Page phase transition.
- To calculate model-dependent deconfinement temperatures (Tc) within AdS/QCD.
Main Methods:
- Utilizing the Hawking-Page phase transition mechanism within AdS/QCD models.
- Analyzing the transition between thermal AdS and black hole phases.
- Comparing results with lattice QCD predictions and theoretical expectations.
Main Results:
- Deconfinement in AdS/QCD models is identified as a first-order Hawking-Page phase transition.
- The transition occurs between a low-temperature thermal AdS phase and a high-temperature black hole phase.
- Deconfinement temperatures (Tc) were obtained for hard-wall and soft-wall AdS/QCD models, with the soft-wall result showing agreement with lattice predictions.
Conclusions:
- The Hawking-Page transition provides a consistent framework for deconfinement in AdS/QCD.
- The model's predictions for meson spectra and Wilson loops are consistent with theoretical expectations.
- The calculated deconfinement temperature in the soft-wall model supports its validity and connection to lattice QCD.
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